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256376151360 = 26325717761983
BaseRepresentation
bin1110111011000100110…
…1011001110101000000
3220111202021221220110100
43232301031121311000
513200024243320420
6313435542402400
724344145221220
oct3566115316500
9814667856410
10256376151360
119980172112a
124182ba30400
131b23a069114
14c5a1578080
156a079a4190
hex3bb1359d40

256376151360 has 672 divisors, whose sum is σ = 1069574118912. Its totient is φ = 55024680960.

The previous prime is 256376151349. The next prime is 256376151371. The reversal of 256376151360 is 63151673652.

256376151360 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 76 + 1 + 513 + 60 = 666.

256376151360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256376151349) and next prime (256376151371).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260809429 + ... + 260810411.

Almost surely, 2256376151360 is an apocalyptic number.

256376151360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256376151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534787059456).

256376151360 is an abundant number, since it is smaller than the sum of its proper divisors (813197967552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256376151360 is a wasteful number, since it uses less digits than its factorization.

256376151360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 256376151360 in words is "two hundred fifty-six billion, three hundred seventy-six million, one hundred fifty-one thousand, three hundred sixty".